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Habilitation à diriger des recherches

Intégrabilité, renormalisation et fractions continues

Abstract : This thesis discusses the various problems arising in the modern theory of dynamical systems. It starts by analysis of meromorphic integrability of the classical three body problem. Then the period doubling renormalization in the asymmetric case is treated. Some results in the continued fractions theory are presented including the solving of the Ramanujan's conjecture about convergence of limit periodic fractions.
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Habilitation à diriger des recherches
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https://tel.archives-ouvertes.fr/tel-00247408
Contributor : Alexei Tsygvintsev <>
Submitted on : Thursday, February 7, 2008 - 9:54:03 PM
Last modification on : Thursday, December 10, 2020 - 10:02:02 AM
Long-term archiving on: : Thursday, September 27, 2012 - 5:52:08 PM

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Alexei Tsygvintsev. Intégrabilité, renormalisation et fractions continues. Mathématiques [math]. Université Claude Bernard - Lyon I, 2006. ⟨tel-00247408⟩

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